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Finding the Third Proportional to 1,973,826,992 and 4,335,027,034

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Solution

The third proportional to 1,973,826,992 and 4,335,027,034 is: 9,520,823,994.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973,826,992 : 4,335,027,034 = 4,335,027,034 : x
  2. Step 2: Convert to fraction form
    1,973,826,992/4,335,027,034 = 4,335,027,034/x
  3. Step 3: Cross multiply
    1,973,826,992x = 4,335,027,034 × 4,335,027,034
  4. Step 4: Simplify right side
    1,973,826,992x = 18,792,459,385,510,838,272
  5. Step 5: Solve for x
    x = 18,792,459,385,510,838,272/1,973,826,992
  6. Step 6: Final answer
    x = 9,520,823,994.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.